That is very much not the environment sarracenia purpurea evolved in. I can't imagine it will survive very long. They need a lot of direct light, and they definitely need a winter dormancy period. They do not make great houseplants, at least not for more than a few weeks or months.

Tropical pitcher plants (Nepenthes) do make decent houseplants, although they struggle through the dry indoor Canadian winters here. They do seem to capture a lot of the fungus gnats I've been fighting with lately (I can see dozens and dozens in each pitcher), but not nearly enough to make a noticeable difference.

According to Wikipedia (https://en.wikipedia.org/wiki/Sarracenia_purpurea), sarracenia purpurea are from Canada and the north-half of the east coast of the United States.

I've spotted them now numerous times around New Jersey and the first time I ever noticed one was on vacation in Newfoundland, I spotted it in bogland leading up to a landlocked fjord near gros morne (western newfoundland). I just never remembered seeing a flower like that facing the ground, so found it interesting and shot a picture and ID'd it later on.

So yeah, they absolutely grow wild but aren't an extremely prolific plant, best places to see them are usually near bogs and ponds.

My Sarracenia thrives on my windowsill in Scotland. It has grown a lovely flower two years in a row.

Being in NW England this seems a promising endorsement of surviving the levels of sunlight we get down south.

I’m sure you’ll be fine. Both the Sarracenia and Venus Fly Trap I own have lasted years and flowered every year, although with the VFT you have to cut off the flowers or they use up too much energy.

I put the VFT outside once for it to snack and it ate a slug. Would have loved to see the look on the slugs face when the plant bit back.

Mine even survive on tap water which goes against advice, but I guess Scotlands tap water is different from most places. Just keep them in an inch of water the whole time, easiest plants ever.